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Finding the Fourth Proportional to 2,441.52, 3,660.80 and 958.96

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Solution

The fourth proportional to 2,441.52, 3,660.80 and 958.96 is: 1,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.52 : 3,660.80 = 958.96 : x
  2. Step 2: Convert to fraction form
    2,441.52/3,660.80 = 958.96/x
  3. Step 3: Cross multiply
    2,441.52x = 3,660.80 × 958.96
  4. Step 4: Simplify right side
    2,441.52x = 3,510,560.55
  5. Step 5: Solve for x
    x = 3,510,560.55/2,441.52
  6. Step 6: Final answer
    x = 1,437.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.